Abstract
This work intends to evaluate the energy spectrum of a particle influenced by the new type of confined interactions introduced in our previous work [Assi and Sous, Eur. Phys. J. Plus 133(5), 175 (2018); Assi et al, Mod. Phys. Lett. 33(32), 1850128 (2018)]. We have used the asymptotic iteration method (AIM) to carry out numerical computations and our results agree to a high degree of accuracy with those obtained by other researchers using different methods as shown in the tables.
Similar content being viewed by others
References
K Szalcwicz and H J Mokhorst, J. Chem. Phys. 75, 5785 (1981)
H M Hulburt and J O Hirschfelder, J. Chem. Phys. 9(1), 61 (1941)
I Nasser, M S Abdelmonem, H Bahlouli and A D Alhaidari, J. Phys. B 40(21), 4245 (2007)
C S Lam and Y P Varshni, Phys. Status Solidi 89(1), 103 (1978)
F Cooper, A Khare and U P Sukhatme, Supersymmetry in quantum mechanics (World Scientific, Singapore, 2001)
G V Shishkin and V M Villalba, J. Math. Phys. 30(9), 2132 (1989)
W C Qiang and S H Dong, Phys. Lett. A 363(3), 169 (2007)
S H Dong and A Gonzalez-Cisneros, Ann. Phys. 323(5), 1136 (2008)
X Y Gu, S H Dong and Z Q Ma, J. Phys. A 42(3), 035303 (2008)
Z Q Ma, A Gonzalez-Cisneros, B W Xu and S H Dong, Phys. Lett. A 371(3), 180 (2007)
W C Qiang and S H Dong, Europhys. Lett. 89(1), 10003 (2010)
X Y Gu and S H Dong, J. Math. Chem. 49(9), 2053 (2011)
F A Serrano, M Cruz-Irisson and S H Dong, Ann. Phys. 523(10), 771 (2011)
S H Dong and M Cruz-Irisson, J. Math. Chem. 50(4), 881 (2012)
A D Alhaidari, J. Math. Phys. 58(7), 072104 (2017)
I A Assi, A D Alhaidari and H Bahlouli, Commun. Theor. Phys. 69(3), 241 (2018)
I A Assi, H Bahlouli and A Hamdan, Mod. Phys. Lett. A 33(32), 1850187 (2018)
H Ciftci, R L Hall and N Saad, J. Phys. A 36(47), 11807 (2003)
A J Sous and A D Alhaidari, J. Appl. Math. Phys. 4, 79 (2016)
A J Sous, J. Appl. Math. Phys. 3(11), 1406 (2015)
I A Assi, A J Sous and A N Ikot, Eur. Phys. J. Plus 132(12), 525 (2017)
I A Assi and A J Sous, Eur. Phys. J. Plus 133(5), 175 (2018)
I A Assi, A J Sous and H Bahlouli, Mod. Phys. Lett. A 33(22), 1850128 (2018)
A F Nikiforov and V B Uvarov, Special functions of mathematical physics (Birkhäuser, Basel, 1988) Vol. 205
W C Qiang, R S Zhou and Y Gao, J. Phys. A 40(7), 1677 (2007)
T Imbo, A Pagnamenta and U Sukhatme, Phys. Rev. D 29(8), 1669 (1984)
S H Dong, G H Sun and M Lozada-Cassou, Phys. Lett. A 340(1–4), 94 (2005)
D J Griffiths, Introduction to quantum mechanics (Cambridge University Press, Cambridge, 2016)
C Cohen-Tannoudji, B Diu and F Laloe, Quantum Mechanics (Hermann and John Wiley & Sons, Inc., Paris, 1977) Vol. 1, p. 315
G F Wei and S H Dong, Phys. Lett. A 373(1), 49 (2008)
W C Qiang and S H Dong, Phys. Lett. A 368(1–2), 13 (2007)
Acknowledgements
The author would like to thank Mr Ibsal Assi for the discussions and for checking the analytical calculations. The author appreciates the efforts of Dr Hocine Bahlouli for proofreading the original version.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sous, A.J. Asymptotic iteration method applied to new confining potentials. Pramana - J Phys 93, 22 (2019). https://doi.org/10.1007/s12043-019-1782-7
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/s12043-019-1782-7
Keywords
- Schrödinger equation
- bound states
- confined potentials
- hyperbolic Pöschl–Teller potential
- asymptotic iteration method